However, the Pact was arguably created in direct response to President Bacco's actions during the Borg invasion (and the member states are largely comprised of nations that have had a long-standing antagonistic or at least neutral relationship with the UFP). The Pact also initially established its presence through subterfuge and sabotage of Federation interests and only declared the union's existence after a Federation investigation.
Yes, and the Federation was created in response to the Romulan War, but that doesn't mean that everything they've done from then on was about the Romulans. And the United States was created by a revolution against England, but our entire history has not been defined by our relations with England.
It's natural that the Pact would be especially concerned about the Federation, because the Federation is the 800-pound gorilla, the dominant superpower in local space. So naturally it informs the politics of just about anything that happens in the region. But think about it realistically. Think of the Pact as six living, breathing, working
nations forging an alliance, rather than just a story device. Those nations have their own citizens/subjects, their own economies, their own domestic affairs and border issues, etc. By the very fact that they exist as nation-states, they
must have a wide range of concerns. (During the Cold War, the USSR dominated America's foreign policy, but the US government still had plenty of other concerns like civil rights, crime, drugs, gas shortages, internal scandals, etc.)
Besides, the whole reason the Pact was formed was to
counter the Federation's dominance as the sole superpower in the region. Naturally they're concerned about it as long as it remains the 800-pound gorilla, but their long-term goal (insofar as the Pact can be said to have a single goal) is to give their members and their allies the ability to stand on their own and
not have their lives dominated by the Federation's whims, so that they can get on with focusing on their own interests and policies instead. The Federation is
not their overwhelming preoccupation, which is exactly why they want to be strong enough to assert their own interests and priorities without being at the mercy of the Federation's whims. As long as the Federation remains a dominant power, the Pact is going to resist that, but if the UFP's influence and involvement diminished enough and the Pact members felt they were free to go their own way, then most of them (with some exceptions) would probably be content to stop worrying about the UFP, to leave it alone as long as it left them alone.
When I was writing the earlier post, I was recalling a scene from "Plagues of Night" where different Typhon Pact members discuss their latest, relevant actions with their colleagues. The relatively moderate Romulan representative observed that many of their actions appeared to be geared to destabilize political relations (which seemed to primarily be against the Federation, but partly the Klingons).
Well, I haven't read that book yet, but that goes to show the diversity of factions within the Pact. Some factions see it just as a way to undermine the Federation, while others are more interested in pursuing their own independent concerns.
However, I don't think they would be so Federation-centric as to make their main symbol an anti-UFP statement — although sometimes designers and other creators may sometimes like to draw such bold distinctions (such as the Neutral Zone map in the Romulan Senate).
I think that's reading too much into a careless bit of set design. The designers didn't include that map on the Senate floor to make some statement about Romulan politics; they just copied the Neutral Zone map from "Balance of Terror" because it was available and recognizable, and they probably didn't consider the broader implications. If anything, the dialogue in the Senate scene establishes that Hiren's government was in a state of detente with the Federation (the same detente achieved during the Dominion War) and had no interest in renewed aggression against them, which was why the revanchist military faction worked with Shinzon to assassinate Hiren and his moderate Senate.